2x^2-10x+(2x+3)+9=0

Simple and best practice solution for 2x^2-10x+(2x+3)+9=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2-10x+(2x+3)+9=0 equation: 


Simplifying
2x2 + -10x + (2x + 3) + 9 = 0

Reorder the terms:
2x2 + -10x + (3 + 2x) + 9 = 0

Remove parenthesis around (3 + 2x)
2x2 + -10x + 3 + 2x + 9 = 0

Reorder the terms:
3 + 9 + -10x + 2x + 2x2 = 0

Combine like terms: 3 + 9 = 12
12 + -10x + 2x + 2x2 = 0

Combine like terms: -10x + 2x = -8x
12 + -8x + 2x2 = 0

Solving
12 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
6 + -4x + x2 = 0

Solving
6 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -4x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x + x2 = 0 + -6
-4x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4x + x2 = -6

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -6 + 4

Reorder the terms:
4 + -4x + x2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4x + x2 = -2

Factor a perfect square on the left side:
(x + -2)(x + -2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 4x-28/3x*21/42-6x | | y^2=5(x+2y) | | 9x^2-6x-63=0 | | (6w-3)=15 | | 0.04(x+9)=0.02(2x+6)+0.23 | | 7-(3+4x)+2x=-5(x-1)-3 | | 90+x+46=180 | | 1/6x=1/6 | | 16x^2+24xy+9y^2-100=0 | | 2x+10-5x=31 | | -20=-16t^2+12t | | 2(8a+6)-3(4a+16)=144 | | 3x+-3=8x-12 | | b^2-20b+57=7 | | 7/105=1/5z | | 2x=-1/2 | | 4m^2n/6n^2 | | 2u^2-1-2u=0 | | 2u^2-1-2u=o | | y-6/5=4/5 | | 13/195=1/5z | | 4f-3+5f-12=3(f-5) | | 3x=40-(5x+24) | | 5.4=log(x) | | 3p/5-0.5=1.9 | | 9t-5=0 | | A=1/5*pi*p^2*x | | -(8x)=-66 | | 3.333=(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x) | | 4-(4-8)= | | (yz)*x= | | 3.333=(1+X)7 |

Equations solver categories